#include<iostream>
#include<algorithm>
#include<cstring>
#include<vector>
#include<queue>
#include<deque>
#include<map>
#include<set>
#include<unordered_map>
using namespace std;
using LL = long long;
using ULL = unsigned long long;
int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    
    return 0;
}
